Free Statistics

of Irreproducible Research!

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSat, 13 Sep 2014 10:57:42 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Sep/13/t1410602382wtuiz1ocdia1sq9.htm/, Retrieved Thu, 16 May 2024 17:21:16 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=235796, Retrieved Thu, 16 May 2024 17:21:16 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact193
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2014-09-13 09:57:42] [fe01ce2a7fbac8fafaed7c982a04e229] [Current]
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Dataseries X:
1.894
1.757
3.582
5.321
5.561
5.907
4.944
4.966
3.258
1.964
1.743
1.262
2.086
1.793
3.548
5.672
6.084
4.914
4.990
5.139
3.218
2.179
2.238
1.442
2.205
2.025
3.531
4.977
7.998
4.880
5.231
5.202
3.303
2.683
2.202
1.376
2.422
1.997
3.163
5.964
5.657
6.415
6.208
4.500
2.939
2.702
2.090
1.504
2.549
1.931
3.013
6.204
5.788
5.611
5.594
4.647
3.490
2.487
1.992
1.507
2.306
2.002
3.075
5.331
5.589
5.813
4.876
4.665
3.601
2.192
2.111
1.580
2.288
1.993
3.228
5.000
5.480
5.770
4.962
4.685
3.607
2.222
2.467
1.594
2.228
1.910
3.157
4.809
6.249
4.607
4.975
4.784
3.028
2.461
2.218
1.351
2.070
1.887
3.024
4.596
6.398
4.459
5.382
4.359
2.687
2.249
2.154
1.169
2.429
1.762
2.846
5.627
5.749
4.502
5.720
4.403
2.867
2.635
2.059
1.511
2.359
1.741
2.917
6.249
5.760
6.250
5.134
4.831
3.695
2.462
2.146
1.579




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235796&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235796&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235796&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.0605576698681607
beta0
gamma0.220228362630158

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.0605576698681607 \tabularnewline
beta & 0 \tabularnewline
gamma & 0.220228362630158 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235796&T=1

[TABLE]
[ROW][C]Estimated Parameters of Exponential Smoothing[/C][/ROW]
[ROW][C]Parameter[/C][C]Value[/C][/ROW]
[ROW][C]alpha[/C][C]0.0605576698681607[/C][/ROW]
[ROW][C]beta[/C][C]0[/C][/ROW]
[ROW][C]gamma[/C][C]0.220228362630158[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235796&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235796&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.0605576698681607
beta0
gamma0.220228362630158







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
132.0862.11921688034188-0.033216880341882
141.7931.8189853551231-0.0259853551230995
153.5483.57077508755449-0.0227750875544928
165.6725.69000922630949-0.0180092263094949
176.0846.075240307849740.0087596921502584
184.9144.881550786050140.0324492139498647
194.994.99725417982434-0.00725417982433729
205.1395.013219895252380.125780104747617
213.2183.31665852363335-0.0986585236333504
222.1792.007380671651160.17161932834884
232.2381.764261883268650.47373811673135
241.4421.335438704733980.106561295266024
252.2052.202382851764480.00261714823552461
262.0251.905817495421330.119182504578673
273.5313.66706243335991-0.136062433359914
284.9775.78042217225886-0.803422172258864
297.9986.123628746867721.87437125313228
304.885.04781748297983-0.167817482979825
315.2315.143178883799390.0878211162006082
325.2025.192425846353120.00957415364687808
333.3033.44239279093741-0.139392790937414
342.6832.186566450413660.496433549586338
352.2022.025623568294510.176376431705486
361.3761.50282696855001-0.126826968550008
372.4222.334132469673570.0878675303264349
381.9972.06684609959622-0.0698460995962245
393.1633.76383580929689-0.600835809296892
405.9645.710978667105090.253021332894908
415.6576.67217462412198-1.01517462412198
426.4154.998866997128641.41613300287136
436.2085.243038290289630.964961709710366
444.55.32921418479469-0.829214184794689
452.9393.49756601590995-0.558566015909946
462.7022.347902807032740.354097192967256
472.092.11212315882728-0.0221231588272772
481.5041.51457557517239-0.0105755751723859
492.5492.39733953102870.151660468971299
501.9312.10128664861196-0.170286648611957
513.0133.68233647137712-0.669336471377119
526.2045.801987169202080.402012830797923
535.7886.50982630133444-0.721826301334443
545.6115.357300888737040.25369911126296
555.5945.437734232274310.156265767725687
564.6475.10373702176825-0.456737021768251
573.493.350640101273280.13935989872672
582.4872.432064235725230.0549357642747728
591.9922.10033114534159-0.108331145341592
601.5071.49995210780030.00704789219969526
612.3062.41734861446069-0.111348614460694
622.0022.03876028127755-0.0367602812775498
633.0753.52464681056153-0.449646810561532
645.3315.87925483733854-0.548254837338539
655.5896.29703482091459-0.708034820914587
665.8135.347172841814350.465827158185652
674.8765.42029400126591-0.54429400126591
684.6654.9170472447326-0.252047244732597
693.6013.299673452546510.301326547453491
702.1922.37343924480529-0.181439244805292
712.1111.99361324231090.117386757689097
721.581.430774137108650.149225862891346
732.2882.33228533853999-0.044285338539988
741.9931.973189919033870.0198100809661319
753.2283.37707936134473-0.149079361344733
7655.72948785577938-0.729487855779384
775.486.10323561427555-0.623235614275552
785.775.401371349517850.368628650482153
794.9625.25962056231371-0.297620562313712
804.6854.83177524545235-0.146775245452353
813.6073.335265005721660.271734994278337
822.2222.3073584964537-0.0853584964537011
832.4671.995175583532480.47182441646752
841.5941.460387648314450.133612351685551
852.2282.32091744217379-0.0929174421737899
861.911.97213779546223-0.0621377954622255
873.1573.33612281681094-0.179122816810939
884.8095.56663016465281-0.757630164652812
896.2495.960656412901240.288343587098757
904.6075.51920388934537-0.912203889345368
914.9755.16204733840638-0.187047338406377
924.7844.772106744423240.0118932555767568
933.0283.37179145552708-0.343791455527077
942.4612.232730367170840.228269632829162
952.2182.054816644461820.163183355538177
961.3511.43136480729519-0.080364807295195
972.072.23206947574203-0.162069475742026
981.8871.885470200942940.0015297990570633
993.0243.22910753642307-0.205107536423071
1004.5965.33835285698648-0.742352856986482
1016.3985.949707703913780.448292296086217
1024.4595.26955781767989-0.810557817679886
1035.3825.068585693564030.313414306435971
1044.3594.75011107741436-0.391111077414362
1052.6873.25180251863774-0.56480251863774
1062.2492.217712289965260.0312877100347397
1072.1542.014403980937880.139596019062123
1081.1691.33913562060073-0.170135620600729
1092.4292.117499948077540.311500051922463
1101.7621.83342629638642-0.0714262963864241
1112.8463.12989400090274-0.283894000902738
1125.6275.123216520553090.503783479446914
1135.7496.05636925418207-0.307369254182069
1144.5025.07001244119126-0.568012441191258
1155.725.116268967692760.60373103230724
1164.4034.669614698661-0.266614698661
1172.8673.14291000755348-0.275910007553477
1182.6352.249640644076880.385359355923117
1192.0592.09018219489899-0.0311821948989865
1201.5111.340490953119070.170509046880929
1212.3592.239130421371790.119869578628207
1221.7411.86422773560099-0.123227735600991
1232.9173.11360063002794-0.196600630027938
1246.2495.275173480894030.973826519105969
1255.766.06897003917207-0.308970039172074
1266.255.028591336225461.22140866377454
1275.1345.42563520570338-0.291635205703376
1284.8314.744692208549940.0863077914500634
1293.6953.237436557470310.457563442529693
1302.4622.52539587645328-0.0633958764532792
1312.1462.25258280561359-0.106582805613591
1321.5791.540053751906370.0389462480936251

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 2.086 & 2.11921688034188 & -0.033216880341882 \tabularnewline
14 & 1.793 & 1.8189853551231 & -0.0259853551230995 \tabularnewline
15 & 3.548 & 3.57077508755449 & -0.0227750875544928 \tabularnewline
16 & 5.672 & 5.69000922630949 & -0.0180092263094949 \tabularnewline
17 & 6.084 & 6.07524030784974 & 0.0087596921502584 \tabularnewline
18 & 4.914 & 4.88155078605014 & 0.0324492139498647 \tabularnewline
19 & 4.99 & 4.99725417982434 & -0.00725417982433729 \tabularnewline
20 & 5.139 & 5.01321989525238 & 0.125780104747617 \tabularnewline
21 & 3.218 & 3.31665852363335 & -0.0986585236333504 \tabularnewline
22 & 2.179 & 2.00738067165116 & 0.17161932834884 \tabularnewline
23 & 2.238 & 1.76426188326865 & 0.47373811673135 \tabularnewline
24 & 1.442 & 1.33543870473398 & 0.106561295266024 \tabularnewline
25 & 2.205 & 2.20238285176448 & 0.00261714823552461 \tabularnewline
26 & 2.025 & 1.90581749542133 & 0.119182504578673 \tabularnewline
27 & 3.531 & 3.66706243335991 & -0.136062433359914 \tabularnewline
28 & 4.977 & 5.78042217225886 & -0.803422172258864 \tabularnewline
29 & 7.998 & 6.12362874686772 & 1.87437125313228 \tabularnewline
30 & 4.88 & 5.04781748297983 & -0.167817482979825 \tabularnewline
31 & 5.231 & 5.14317888379939 & 0.0878211162006082 \tabularnewline
32 & 5.202 & 5.19242584635312 & 0.00957415364687808 \tabularnewline
33 & 3.303 & 3.44239279093741 & -0.139392790937414 \tabularnewline
34 & 2.683 & 2.18656645041366 & 0.496433549586338 \tabularnewline
35 & 2.202 & 2.02562356829451 & 0.176376431705486 \tabularnewline
36 & 1.376 & 1.50282696855001 & -0.126826968550008 \tabularnewline
37 & 2.422 & 2.33413246967357 & 0.0878675303264349 \tabularnewline
38 & 1.997 & 2.06684609959622 & -0.0698460995962245 \tabularnewline
39 & 3.163 & 3.76383580929689 & -0.600835809296892 \tabularnewline
40 & 5.964 & 5.71097866710509 & 0.253021332894908 \tabularnewline
41 & 5.657 & 6.67217462412198 & -1.01517462412198 \tabularnewline
42 & 6.415 & 4.99886699712864 & 1.41613300287136 \tabularnewline
43 & 6.208 & 5.24303829028963 & 0.964961709710366 \tabularnewline
44 & 4.5 & 5.32921418479469 & -0.829214184794689 \tabularnewline
45 & 2.939 & 3.49756601590995 & -0.558566015909946 \tabularnewline
46 & 2.702 & 2.34790280703274 & 0.354097192967256 \tabularnewline
47 & 2.09 & 2.11212315882728 & -0.0221231588272772 \tabularnewline
48 & 1.504 & 1.51457557517239 & -0.0105755751723859 \tabularnewline
49 & 2.549 & 2.3973395310287 & 0.151660468971299 \tabularnewline
50 & 1.931 & 2.10128664861196 & -0.170286648611957 \tabularnewline
51 & 3.013 & 3.68233647137712 & -0.669336471377119 \tabularnewline
52 & 6.204 & 5.80198716920208 & 0.402012830797923 \tabularnewline
53 & 5.788 & 6.50982630133444 & -0.721826301334443 \tabularnewline
54 & 5.611 & 5.35730088873704 & 0.25369911126296 \tabularnewline
55 & 5.594 & 5.43773423227431 & 0.156265767725687 \tabularnewline
56 & 4.647 & 5.10373702176825 & -0.456737021768251 \tabularnewline
57 & 3.49 & 3.35064010127328 & 0.13935989872672 \tabularnewline
58 & 2.487 & 2.43206423572523 & 0.0549357642747728 \tabularnewline
59 & 1.992 & 2.10033114534159 & -0.108331145341592 \tabularnewline
60 & 1.507 & 1.4999521078003 & 0.00704789219969526 \tabularnewline
61 & 2.306 & 2.41734861446069 & -0.111348614460694 \tabularnewline
62 & 2.002 & 2.03876028127755 & -0.0367602812775498 \tabularnewline
63 & 3.075 & 3.52464681056153 & -0.449646810561532 \tabularnewline
64 & 5.331 & 5.87925483733854 & -0.548254837338539 \tabularnewline
65 & 5.589 & 6.29703482091459 & -0.708034820914587 \tabularnewline
66 & 5.813 & 5.34717284181435 & 0.465827158185652 \tabularnewline
67 & 4.876 & 5.42029400126591 & -0.54429400126591 \tabularnewline
68 & 4.665 & 4.9170472447326 & -0.252047244732597 \tabularnewline
69 & 3.601 & 3.29967345254651 & 0.301326547453491 \tabularnewline
70 & 2.192 & 2.37343924480529 & -0.181439244805292 \tabularnewline
71 & 2.111 & 1.9936132423109 & 0.117386757689097 \tabularnewline
72 & 1.58 & 1.43077413710865 & 0.149225862891346 \tabularnewline
73 & 2.288 & 2.33228533853999 & -0.044285338539988 \tabularnewline
74 & 1.993 & 1.97318991903387 & 0.0198100809661319 \tabularnewline
75 & 3.228 & 3.37707936134473 & -0.149079361344733 \tabularnewline
76 & 5 & 5.72948785577938 & -0.729487855779384 \tabularnewline
77 & 5.48 & 6.10323561427555 & -0.623235614275552 \tabularnewline
78 & 5.77 & 5.40137134951785 & 0.368628650482153 \tabularnewline
79 & 4.962 & 5.25962056231371 & -0.297620562313712 \tabularnewline
80 & 4.685 & 4.83177524545235 & -0.146775245452353 \tabularnewline
81 & 3.607 & 3.33526500572166 & 0.271734994278337 \tabularnewline
82 & 2.222 & 2.3073584964537 & -0.0853584964537011 \tabularnewline
83 & 2.467 & 1.99517558353248 & 0.47182441646752 \tabularnewline
84 & 1.594 & 1.46038764831445 & 0.133612351685551 \tabularnewline
85 & 2.228 & 2.32091744217379 & -0.0929174421737899 \tabularnewline
86 & 1.91 & 1.97213779546223 & -0.0621377954622255 \tabularnewline
87 & 3.157 & 3.33612281681094 & -0.179122816810939 \tabularnewline
88 & 4.809 & 5.56663016465281 & -0.757630164652812 \tabularnewline
89 & 6.249 & 5.96065641290124 & 0.288343587098757 \tabularnewline
90 & 4.607 & 5.51920388934537 & -0.912203889345368 \tabularnewline
91 & 4.975 & 5.16204733840638 & -0.187047338406377 \tabularnewline
92 & 4.784 & 4.77210674442324 & 0.0118932555767568 \tabularnewline
93 & 3.028 & 3.37179145552708 & -0.343791455527077 \tabularnewline
94 & 2.461 & 2.23273036717084 & 0.228269632829162 \tabularnewline
95 & 2.218 & 2.05481664446182 & 0.163183355538177 \tabularnewline
96 & 1.351 & 1.43136480729519 & -0.080364807295195 \tabularnewline
97 & 2.07 & 2.23206947574203 & -0.162069475742026 \tabularnewline
98 & 1.887 & 1.88547020094294 & 0.0015297990570633 \tabularnewline
99 & 3.024 & 3.22910753642307 & -0.205107536423071 \tabularnewline
100 & 4.596 & 5.33835285698648 & -0.742352856986482 \tabularnewline
101 & 6.398 & 5.94970770391378 & 0.448292296086217 \tabularnewline
102 & 4.459 & 5.26955781767989 & -0.810557817679886 \tabularnewline
103 & 5.382 & 5.06858569356403 & 0.313414306435971 \tabularnewline
104 & 4.359 & 4.75011107741436 & -0.391111077414362 \tabularnewline
105 & 2.687 & 3.25180251863774 & -0.56480251863774 \tabularnewline
106 & 2.249 & 2.21771228996526 & 0.0312877100347397 \tabularnewline
107 & 2.154 & 2.01440398093788 & 0.139596019062123 \tabularnewline
108 & 1.169 & 1.33913562060073 & -0.170135620600729 \tabularnewline
109 & 2.429 & 2.11749994807754 & 0.311500051922463 \tabularnewline
110 & 1.762 & 1.83342629638642 & -0.0714262963864241 \tabularnewline
111 & 2.846 & 3.12989400090274 & -0.283894000902738 \tabularnewline
112 & 5.627 & 5.12321652055309 & 0.503783479446914 \tabularnewline
113 & 5.749 & 6.05636925418207 & -0.307369254182069 \tabularnewline
114 & 4.502 & 5.07001244119126 & -0.568012441191258 \tabularnewline
115 & 5.72 & 5.11626896769276 & 0.60373103230724 \tabularnewline
116 & 4.403 & 4.669614698661 & -0.266614698661 \tabularnewline
117 & 2.867 & 3.14291000755348 & -0.275910007553477 \tabularnewline
118 & 2.635 & 2.24964064407688 & 0.385359355923117 \tabularnewline
119 & 2.059 & 2.09018219489899 & -0.0311821948989865 \tabularnewline
120 & 1.511 & 1.34049095311907 & 0.170509046880929 \tabularnewline
121 & 2.359 & 2.23913042137179 & 0.119869578628207 \tabularnewline
122 & 1.741 & 1.86422773560099 & -0.123227735600991 \tabularnewline
123 & 2.917 & 3.11360063002794 & -0.196600630027938 \tabularnewline
124 & 6.249 & 5.27517348089403 & 0.973826519105969 \tabularnewline
125 & 5.76 & 6.06897003917207 & -0.308970039172074 \tabularnewline
126 & 6.25 & 5.02859133622546 & 1.22140866377454 \tabularnewline
127 & 5.134 & 5.42563520570338 & -0.291635205703376 \tabularnewline
128 & 4.831 & 4.74469220854994 & 0.0863077914500634 \tabularnewline
129 & 3.695 & 3.23743655747031 & 0.457563442529693 \tabularnewline
130 & 2.462 & 2.52539587645328 & -0.0633958764532792 \tabularnewline
131 & 2.146 & 2.25258280561359 & -0.106582805613591 \tabularnewline
132 & 1.579 & 1.54005375190637 & 0.0389462480936251 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235796&T=2

[TABLE]
[ROW][C]Interpolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Fitted[/C][C]Residuals[/C][/ROW]
[ROW][C]13[/C][C]2.086[/C][C]2.11921688034188[/C][C]-0.033216880341882[/C][/ROW]
[ROW][C]14[/C][C]1.793[/C][C]1.8189853551231[/C][C]-0.0259853551230995[/C][/ROW]
[ROW][C]15[/C][C]3.548[/C][C]3.57077508755449[/C][C]-0.0227750875544928[/C][/ROW]
[ROW][C]16[/C][C]5.672[/C][C]5.69000922630949[/C][C]-0.0180092263094949[/C][/ROW]
[ROW][C]17[/C][C]6.084[/C][C]6.07524030784974[/C][C]0.0087596921502584[/C][/ROW]
[ROW][C]18[/C][C]4.914[/C][C]4.88155078605014[/C][C]0.0324492139498647[/C][/ROW]
[ROW][C]19[/C][C]4.99[/C][C]4.99725417982434[/C][C]-0.00725417982433729[/C][/ROW]
[ROW][C]20[/C][C]5.139[/C][C]5.01321989525238[/C][C]0.125780104747617[/C][/ROW]
[ROW][C]21[/C][C]3.218[/C][C]3.31665852363335[/C][C]-0.0986585236333504[/C][/ROW]
[ROW][C]22[/C][C]2.179[/C][C]2.00738067165116[/C][C]0.17161932834884[/C][/ROW]
[ROW][C]23[/C][C]2.238[/C][C]1.76426188326865[/C][C]0.47373811673135[/C][/ROW]
[ROW][C]24[/C][C]1.442[/C][C]1.33543870473398[/C][C]0.106561295266024[/C][/ROW]
[ROW][C]25[/C][C]2.205[/C][C]2.20238285176448[/C][C]0.00261714823552461[/C][/ROW]
[ROW][C]26[/C][C]2.025[/C][C]1.90581749542133[/C][C]0.119182504578673[/C][/ROW]
[ROW][C]27[/C][C]3.531[/C][C]3.66706243335991[/C][C]-0.136062433359914[/C][/ROW]
[ROW][C]28[/C][C]4.977[/C][C]5.78042217225886[/C][C]-0.803422172258864[/C][/ROW]
[ROW][C]29[/C][C]7.998[/C][C]6.12362874686772[/C][C]1.87437125313228[/C][/ROW]
[ROW][C]30[/C][C]4.88[/C][C]5.04781748297983[/C][C]-0.167817482979825[/C][/ROW]
[ROW][C]31[/C][C]5.231[/C][C]5.14317888379939[/C][C]0.0878211162006082[/C][/ROW]
[ROW][C]32[/C][C]5.202[/C][C]5.19242584635312[/C][C]0.00957415364687808[/C][/ROW]
[ROW][C]33[/C][C]3.303[/C][C]3.44239279093741[/C][C]-0.139392790937414[/C][/ROW]
[ROW][C]34[/C][C]2.683[/C][C]2.18656645041366[/C][C]0.496433549586338[/C][/ROW]
[ROW][C]35[/C][C]2.202[/C][C]2.02562356829451[/C][C]0.176376431705486[/C][/ROW]
[ROW][C]36[/C][C]1.376[/C][C]1.50282696855001[/C][C]-0.126826968550008[/C][/ROW]
[ROW][C]37[/C][C]2.422[/C][C]2.33413246967357[/C][C]0.0878675303264349[/C][/ROW]
[ROW][C]38[/C][C]1.997[/C][C]2.06684609959622[/C][C]-0.0698460995962245[/C][/ROW]
[ROW][C]39[/C][C]3.163[/C][C]3.76383580929689[/C][C]-0.600835809296892[/C][/ROW]
[ROW][C]40[/C][C]5.964[/C][C]5.71097866710509[/C][C]0.253021332894908[/C][/ROW]
[ROW][C]41[/C][C]5.657[/C][C]6.67217462412198[/C][C]-1.01517462412198[/C][/ROW]
[ROW][C]42[/C][C]6.415[/C][C]4.99886699712864[/C][C]1.41613300287136[/C][/ROW]
[ROW][C]43[/C][C]6.208[/C][C]5.24303829028963[/C][C]0.964961709710366[/C][/ROW]
[ROW][C]44[/C][C]4.5[/C][C]5.32921418479469[/C][C]-0.829214184794689[/C][/ROW]
[ROW][C]45[/C][C]2.939[/C][C]3.49756601590995[/C][C]-0.558566015909946[/C][/ROW]
[ROW][C]46[/C][C]2.702[/C][C]2.34790280703274[/C][C]0.354097192967256[/C][/ROW]
[ROW][C]47[/C][C]2.09[/C][C]2.11212315882728[/C][C]-0.0221231588272772[/C][/ROW]
[ROW][C]48[/C][C]1.504[/C][C]1.51457557517239[/C][C]-0.0105755751723859[/C][/ROW]
[ROW][C]49[/C][C]2.549[/C][C]2.3973395310287[/C][C]0.151660468971299[/C][/ROW]
[ROW][C]50[/C][C]1.931[/C][C]2.10128664861196[/C][C]-0.170286648611957[/C][/ROW]
[ROW][C]51[/C][C]3.013[/C][C]3.68233647137712[/C][C]-0.669336471377119[/C][/ROW]
[ROW][C]52[/C][C]6.204[/C][C]5.80198716920208[/C][C]0.402012830797923[/C][/ROW]
[ROW][C]53[/C][C]5.788[/C][C]6.50982630133444[/C][C]-0.721826301334443[/C][/ROW]
[ROW][C]54[/C][C]5.611[/C][C]5.35730088873704[/C][C]0.25369911126296[/C][/ROW]
[ROW][C]55[/C][C]5.594[/C][C]5.43773423227431[/C][C]0.156265767725687[/C][/ROW]
[ROW][C]56[/C][C]4.647[/C][C]5.10373702176825[/C][C]-0.456737021768251[/C][/ROW]
[ROW][C]57[/C][C]3.49[/C][C]3.35064010127328[/C][C]0.13935989872672[/C][/ROW]
[ROW][C]58[/C][C]2.487[/C][C]2.43206423572523[/C][C]0.0549357642747728[/C][/ROW]
[ROW][C]59[/C][C]1.992[/C][C]2.10033114534159[/C][C]-0.108331145341592[/C][/ROW]
[ROW][C]60[/C][C]1.507[/C][C]1.4999521078003[/C][C]0.00704789219969526[/C][/ROW]
[ROW][C]61[/C][C]2.306[/C][C]2.41734861446069[/C][C]-0.111348614460694[/C][/ROW]
[ROW][C]62[/C][C]2.002[/C][C]2.03876028127755[/C][C]-0.0367602812775498[/C][/ROW]
[ROW][C]63[/C][C]3.075[/C][C]3.52464681056153[/C][C]-0.449646810561532[/C][/ROW]
[ROW][C]64[/C][C]5.331[/C][C]5.87925483733854[/C][C]-0.548254837338539[/C][/ROW]
[ROW][C]65[/C][C]5.589[/C][C]6.29703482091459[/C][C]-0.708034820914587[/C][/ROW]
[ROW][C]66[/C][C]5.813[/C][C]5.34717284181435[/C][C]0.465827158185652[/C][/ROW]
[ROW][C]67[/C][C]4.876[/C][C]5.42029400126591[/C][C]-0.54429400126591[/C][/ROW]
[ROW][C]68[/C][C]4.665[/C][C]4.9170472447326[/C][C]-0.252047244732597[/C][/ROW]
[ROW][C]69[/C][C]3.601[/C][C]3.29967345254651[/C][C]0.301326547453491[/C][/ROW]
[ROW][C]70[/C][C]2.192[/C][C]2.37343924480529[/C][C]-0.181439244805292[/C][/ROW]
[ROW][C]71[/C][C]2.111[/C][C]1.9936132423109[/C][C]0.117386757689097[/C][/ROW]
[ROW][C]72[/C][C]1.58[/C][C]1.43077413710865[/C][C]0.149225862891346[/C][/ROW]
[ROW][C]73[/C][C]2.288[/C][C]2.33228533853999[/C][C]-0.044285338539988[/C][/ROW]
[ROW][C]74[/C][C]1.993[/C][C]1.97318991903387[/C][C]0.0198100809661319[/C][/ROW]
[ROW][C]75[/C][C]3.228[/C][C]3.37707936134473[/C][C]-0.149079361344733[/C][/ROW]
[ROW][C]76[/C][C]5[/C][C]5.72948785577938[/C][C]-0.729487855779384[/C][/ROW]
[ROW][C]77[/C][C]5.48[/C][C]6.10323561427555[/C][C]-0.623235614275552[/C][/ROW]
[ROW][C]78[/C][C]5.77[/C][C]5.40137134951785[/C][C]0.368628650482153[/C][/ROW]
[ROW][C]79[/C][C]4.962[/C][C]5.25962056231371[/C][C]-0.297620562313712[/C][/ROW]
[ROW][C]80[/C][C]4.685[/C][C]4.83177524545235[/C][C]-0.146775245452353[/C][/ROW]
[ROW][C]81[/C][C]3.607[/C][C]3.33526500572166[/C][C]0.271734994278337[/C][/ROW]
[ROW][C]82[/C][C]2.222[/C][C]2.3073584964537[/C][C]-0.0853584964537011[/C][/ROW]
[ROW][C]83[/C][C]2.467[/C][C]1.99517558353248[/C][C]0.47182441646752[/C][/ROW]
[ROW][C]84[/C][C]1.594[/C][C]1.46038764831445[/C][C]0.133612351685551[/C][/ROW]
[ROW][C]85[/C][C]2.228[/C][C]2.32091744217379[/C][C]-0.0929174421737899[/C][/ROW]
[ROW][C]86[/C][C]1.91[/C][C]1.97213779546223[/C][C]-0.0621377954622255[/C][/ROW]
[ROW][C]87[/C][C]3.157[/C][C]3.33612281681094[/C][C]-0.179122816810939[/C][/ROW]
[ROW][C]88[/C][C]4.809[/C][C]5.56663016465281[/C][C]-0.757630164652812[/C][/ROW]
[ROW][C]89[/C][C]6.249[/C][C]5.96065641290124[/C][C]0.288343587098757[/C][/ROW]
[ROW][C]90[/C][C]4.607[/C][C]5.51920388934537[/C][C]-0.912203889345368[/C][/ROW]
[ROW][C]91[/C][C]4.975[/C][C]5.16204733840638[/C][C]-0.187047338406377[/C][/ROW]
[ROW][C]92[/C][C]4.784[/C][C]4.77210674442324[/C][C]0.0118932555767568[/C][/ROW]
[ROW][C]93[/C][C]3.028[/C][C]3.37179145552708[/C][C]-0.343791455527077[/C][/ROW]
[ROW][C]94[/C][C]2.461[/C][C]2.23273036717084[/C][C]0.228269632829162[/C][/ROW]
[ROW][C]95[/C][C]2.218[/C][C]2.05481664446182[/C][C]0.163183355538177[/C][/ROW]
[ROW][C]96[/C][C]1.351[/C][C]1.43136480729519[/C][C]-0.080364807295195[/C][/ROW]
[ROW][C]97[/C][C]2.07[/C][C]2.23206947574203[/C][C]-0.162069475742026[/C][/ROW]
[ROW][C]98[/C][C]1.887[/C][C]1.88547020094294[/C][C]0.0015297990570633[/C][/ROW]
[ROW][C]99[/C][C]3.024[/C][C]3.22910753642307[/C][C]-0.205107536423071[/C][/ROW]
[ROW][C]100[/C][C]4.596[/C][C]5.33835285698648[/C][C]-0.742352856986482[/C][/ROW]
[ROW][C]101[/C][C]6.398[/C][C]5.94970770391378[/C][C]0.448292296086217[/C][/ROW]
[ROW][C]102[/C][C]4.459[/C][C]5.26955781767989[/C][C]-0.810557817679886[/C][/ROW]
[ROW][C]103[/C][C]5.382[/C][C]5.06858569356403[/C][C]0.313414306435971[/C][/ROW]
[ROW][C]104[/C][C]4.359[/C][C]4.75011107741436[/C][C]-0.391111077414362[/C][/ROW]
[ROW][C]105[/C][C]2.687[/C][C]3.25180251863774[/C][C]-0.56480251863774[/C][/ROW]
[ROW][C]106[/C][C]2.249[/C][C]2.21771228996526[/C][C]0.0312877100347397[/C][/ROW]
[ROW][C]107[/C][C]2.154[/C][C]2.01440398093788[/C][C]0.139596019062123[/C][/ROW]
[ROW][C]108[/C][C]1.169[/C][C]1.33913562060073[/C][C]-0.170135620600729[/C][/ROW]
[ROW][C]109[/C][C]2.429[/C][C]2.11749994807754[/C][C]0.311500051922463[/C][/ROW]
[ROW][C]110[/C][C]1.762[/C][C]1.83342629638642[/C][C]-0.0714262963864241[/C][/ROW]
[ROW][C]111[/C][C]2.846[/C][C]3.12989400090274[/C][C]-0.283894000902738[/C][/ROW]
[ROW][C]112[/C][C]5.627[/C][C]5.12321652055309[/C][C]0.503783479446914[/C][/ROW]
[ROW][C]113[/C][C]5.749[/C][C]6.05636925418207[/C][C]-0.307369254182069[/C][/ROW]
[ROW][C]114[/C][C]4.502[/C][C]5.07001244119126[/C][C]-0.568012441191258[/C][/ROW]
[ROW][C]115[/C][C]5.72[/C][C]5.11626896769276[/C][C]0.60373103230724[/C][/ROW]
[ROW][C]116[/C][C]4.403[/C][C]4.669614698661[/C][C]-0.266614698661[/C][/ROW]
[ROW][C]117[/C][C]2.867[/C][C]3.14291000755348[/C][C]-0.275910007553477[/C][/ROW]
[ROW][C]118[/C][C]2.635[/C][C]2.24964064407688[/C][C]0.385359355923117[/C][/ROW]
[ROW][C]119[/C][C]2.059[/C][C]2.09018219489899[/C][C]-0.0311821948989865[/C][/ROW]
[ROW][C]120[/C][C]1.511[/C][C]1.34049095311907[/C][C]0.170509046880929[/C][/ROW]
[ROW][C]121[/C][C]2.359[/C][C]2.23913042137179[/C][C]0.119869578628207[/C][/ROW]
[ROW][C]122[/C][C]1.741[/C][C]1.86422773560099[/C][C]-0.123227735600991[/C][/ROW]
[ROW][C]123[/C][C]2.917[/C][C]3.11360063002794[/C][C]-0.196600630027938[/C][/ROW]
[ROW][C]124[/C][C]6.249[/C][C]5.27517348089403[/C][C]0.973826519105969[/C][/ROW]
[ROW][C]125[/C][C]5.76[/C][C]6.06897003917207[/C][C]-0.308970039172074[/C][/ROW]
[ROW][C]126[/C][C]6.25[/C][C]5.02859133622546[/C][C]1.22140866377454[/C][/ROW]
[ROW][C]127[/C][C]5.134[/C][C]5.42563520570338[/C][C]-0.291635205703376[/C][/ROW]
[ROW][C]128[/C][C]4.831[/C][C]4.74469220854994[/C][C]0.0863077914500634[/C][/ROW]
[ROW][C]129[/C][C]3.695[/C][C]3.23743655747031[/C][C]0.457563442529693[/C][/ROW]
[ROW][C]130[/C][C]2.462[/C][C]2.52539587645328[/C][C]-0.0633958764532792[/C][/ROW]
[ROW][C]131[/C][C]2.146[/C][C]2.25258280561359[/C][C]-0.106582805613591[/C][/ROW]
[ROW][C]132[/C][C]1.579[/C][C]1.54005375190637[/C][C]0.0389462480936251[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235796&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235796&T=2

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
132.0862.11921688034188-0.033216880341882
141.7931.8189853551231-0.0259853551230995
153.5483.57077508755449-0.0227750875544928
165.6725.69000922630949-0.0180092263094949
176.0846.075240307849740.0087596921502584
184.9144.881550786050140.0324492139498647
194.994.99725417982434-0.00725417982433729
205.1395.013219895252380.125780104747617
213.2183.31665852363335-0.0986585236333504
222.1792.007380671651160.17161932834884
232.2381.764261883268650.47373811673135
241.4421.335438704733980.106561295266024
252.2052.202382851764480.00261714823552461
262.0251.905817495421330.119182504578673
273.5313.66706243335991-0.136062433359914
284.9775.78042217225886-0.803422172258864
297.9986.123628746867721.87437125313228
304.885.04781748297983-0.167817482979825
315.2315.143178883799390.0878211162006082
325.2025.192425846353120.00957415364687808
333.3033.44239279093741-0.139392790937414
342.6832.186566450413660.496433549586338
352.2022.025623568294510.176376431705486
361.3761.50282696855001-0.126826968550008
372.4222.334132469673570.0878675303264349
381.9972.06684609959622-0.0698460995962245
393.1633.76383580929689-0.600835809296892
405.9645.710978667105090.253021332894908
415.6576.67217462412198-1.01517462412198
426.4154.998866997128641.41613300287136
436.2085.243038290289630.964961709710366
444.55.32921418479469-0.829214184794689
452.9393.49756601590995-0.558566015909946
462.7022.347902807032740.354097192967256
472.092.11212315882728-0.0221231588272772
481.5041.51457557517239-0.0105755751723859
492.5492.39733953102870.151660468971299
501.9312.10128664861196-0.170286648611957
513.0133.68233647137712-0.669336471377119
526.2045.801987169202080.402012830797923
535.7886.50982630133444-0.721826301334443
545.6115.357300888737040.25369911126296
555.5945.437734232274310.156265767725687
564.6475.10373702176825-0.456737021768251
573.493.350640101273280.13935989872672
582.4872.432064235725230.0549357642747728
591.9922.10033114534159-0.108331145341592
601.5071.49995210780030.00704789219969526
612.3062.41734861446069-0.111348614460694
622.0022.03876028127755-0.0367602812775498
633.0753.52464681056153-0.449646810561532
645.3315.87925483733854-0.548254837338539
655.5896.29703482091459-0.708034820914587
665.8135.347172841814350.465827158185652
674.8765.42029400126591-0.54429400126591
684.6654.9170472447326-0.252047244732597
693.6013.299673452546510.301326547453491
702.1922.37343924480529-0.181439244805292
712.1111.99361324231090.117386757689097
721.581.430774137108650.149225862891346
732.2882.33228533853999-0.044285338539988
741.9931.973189919033870.0198100809661319
753.2283.37707936134473-0.149079361344733
7655.72948785577938-0.729487855779384
775.486.10323561427555-0.623235614275552
785.775.401371349517850.368628650482153
794.9625.25962056231371-0.297620562313712
804.6854.83177524545235-0.146775245452353
813.6073.335265005721660.271734994278337
822.2222.3073584964537-0.0853584964537011
832.4671.995175583532480.47182441646752
841.5941.460387648314450.133612351685551
852.2282.32091744217379-0.0929174421737899
861.911.97213779546223-0.0621377954622255
873.1573.33612281681094-0.179122816810939
884.8095.56663016465281-0.757630164652812
896.2495.960656412901240.288343587098757
904.6075.51920388934537-0.912203889345368
914.9755.16204733840638-0.187047338406377
924.7844.772106744423240.0118932555767568
933.0283.37179145552708-0.343791455527077
942.4612.232730367170840.228269632829162
952.2182.054816644461820.163183355538177
961.3511.43136480729519-0.080364807295195
972.072.23206947574203-0.162069475742026
981.8871.885470200942940.0015297990570633
993.0243.22910753642307-0.205107536423071
1004.5965.33835285698648-0.742352856986482
1016.3985.949707703913780.448292296086217
1024.4595.26955781767989-0.810557817679886
1035.3825.068585693564030.313414306435971
1044.3594.75011107741436-0.391111077414362
1052.6873.25180251863774-0.56480251863774
1062.2492.217712289965260.0312877100347397
1072.1542.014403980937880.139596019062123
1081.1691.33913562060073-0.170135620600729
1092.4292.117499948077540.311500051922463
1101.7621.83342629638642-0.0714262963864241
1112.8463.12989400090274-0.283894000902738
1125.6275.123216520553090.503783479446914
1135.7496.05636925418207-0.307369254182069
1144.5025.07001244119126-0.568012441191258
1155.725.116268967692760.60373103230724
1164.4034.669614698661-0.266614698661
1172.8673.14291000755348-0.275910007553477
1182.6352.249640644076880.385359355923117
1192.0592.09018219489899-0.0311821948989865
1201.5111.340490953119070.170509046880929
1212.3592.239130421371790.119869578628207
1221.7411.86422773560099-0.123227735600991
1232.9173.11360063002794-0.196600630027938
1246.2495.275173480894030.973826519105969
1255.766.06897003917207-0.308970039172074
1266.255.028591336225461.22140866377454
1275.1345.42563520570338-0.291635205703376
1284.8314.744692208549940.0863077914500634
1293.6953.237436557470310.457563442529693
1302.4622.52539587645328-0.0633958764532792
1312.1462.25258280561359-0.106582805613591
1321.5791.540053751906370.0389462480936251







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1332.420249190548321.551539490082593.28895889101406
1341.987792630272641.117491507763152.85809375278213
1353.229447655645322.357558015840324.10133729545032
1365.645078016229384.771602748029246.51855328442951
1376.114501761477025.239443738077826.98955978487622
1385.409456439323614.53281851835896.28609436028832
1395.419498206703744.541283230384546.29771318302294
1404.834409282479913.954620077732915.7141984872269
1413.398736799704222.517376178308334.28009742110012
1422.55120490751711.668275666238183.43413414879603
1432.273295919731131.388800840455173.15779099900709
1441.597330046969890.7112718968344722.48338819710531

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
133 & 2.42024919054832 & 1.55153949008259 & 3.28895889101406 \tabularnewline
134 & 1.98779263027264 & 1.11749150776315 & 2.85809375278213 \tabularnewline
135 & 3.22944765564532 & 2.35755801584032 & 4.10133729545032 \tabularnewline
136 & 5.64507801622938 & 4.77160274802924 & 6.51855328442951 \tabularnewline
137 & 6.11450176147702 & 5.23944373807782 & 6.98955978487622 \tabularnewline
138 & 5.40945643932361 & 4.5328185183589 & 6.28609436028832 \tabularnewline
139 & 5.41949820670374 & 4.54128323038454 & 6.29771318302294 \tabularnewline
140 & 4.83440928247991 & 3.95462007773291 & 5.7141984872269 \tabularnewline
141 & 3.39873679970422 & 2.51737617830833 & 4.28009742110012 \tabularnewline
142 & 2.5512049075171 & 1.66827566623818 & 3.43413414879603 \tabularnewline
143 & 2.27329591973113 & 1.38880084045517 & 3.15779099900709 \tabularnewline
144 & 1.59733004696989 & 0.711271896834472 & 2.48338819710531 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235796&T=3

[TABLE]
[ROW][C]Extrapolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Forecast[/C][C]95% Lower Bound[/C][C]95% Upper Bound[/C][/ROW]
[ROW][C]133[/C][C]2.42024919054832[/C][C]1.55153949008259[/C][C]3.28895889101406[/C][/ROW]
[ROW][C]134[/C][C]1.98779263027264[/C][C]1.11749150776315[/C][C]2.85809375278213[/C][/ROW]
[ROW][C]135[/C][C]3.22944765564532[/C][C]2.35755801584032[/C][C]4.10133729545032[/C][/ROW]
[ROW][C]136[/C][C]5.64507801622938[/C][C]4.77160274802924[/C][C]6.51855328442951[/C][/ROW]
[ROW][C]137[/C][C]6.11450176147702[/C][C]5.23944373807782[/C][C]6.98955978487622[/C][/ROW]
[ROW][C]138[/C][C]5.40945643932361[/C][C]4.5328185183589[/C][C]6.28609436028832[/C][/ROW]
[ROW][C]139[/C][C]5.41949820670374[/C][C]4.54128323038454[/C][C]6.29771318302294[/C][/ROW]
[ROW][C]140[/C][C]4.83440928247991[/C][C]3.95462007773291[/C][C]5.7141984872269[/C][/ROW]
[ROW][C]141[/C][C]3.39873679970422[/C][C]2.51737617830833[/C][C]4.28009742110012[/C][/ROW]
[ROW][C]142[/C][C]2.5512049075171[/C][C]1.66827566623818[/C][C]3.43413414879603[/C][/ROW]
[ROW][C]143[/C][C]2.27329591973113[/C][C]1.38880084045517[/C][C]3.15779099900709[/C][/ROW]
[ROW][C]144[/C][C]1.59733004696989[/C][C]0.711271896834472[/C][C]2.48338819710531[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235796&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235796&T=3

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1332.420249190548321.551539490082593.28895889101406
1341.987792630272641.117491507763152.85809375278213
1353.229447655645322.357558015840324.10133729545032
1365.645078016229384.771602748029246.51855328442951
1376.114501761477025.239443738077826.98955978487622
1385.409456439323614.53281851835896.28609436028832
1395.419498206703744.541283230384546.29771318302294
1404.834409282479913.954620077732915.7141984872269
1413.398736799704222.517376178308334.28009742110012
1422.55120490751711.668275666238183.43413414879603
1432.273295919731131.388800840455173.15779099900709
1441.597330046969890.7112718968344722.48338819710531



Parameters (Session):
par1 = 12 ; par2 = Triple ; par3 = additive ;
Parameters (R input):
par1 = 12 ; par2 = Triple ; par3 = additive ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
if (par2 == 'Single') K <- 1
if (par2 == 'Double') K <- 2
if (par2 == 'Triple') K <- par1
nx <- length(x)
nxmK <- nx - K
x <- ts(x, frequency = par1)
if (par2 == 'Single') fit <- HoltWinters(x, gamma=F, beta=F)
if (par2 == 'Double') fit <- HoltWinters(x, gamma=F)
if (par2 == 'Triple') fit <- HoltWinters(x, seasonal=par3)
fit
myresid <- x - fit$fitted[,'xhat']
bitmap(file='test1.png')
op <- par(mfrow=c(2,1))
plot(fit,ylab='Observed (black) / Fitted (red)',main='Interpolation Fit of Exponential Smoothing')
plot(myresid,ylab='Residuals',main='Interpolation Prediction Errors')
par(op)
dev.off()
bitmap(file='test2.png')
p <- predict(fit, par1, prediction.interval=TRUE)
np <- length(p[,1])
plot(fit,p,ylab='Observed (black) / Fitted (red)',main='Extrapolation Fit of Exponential Smoothing')
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(myresid),lag.max = nx/2,main='Residual ACF')
spectrum(myresid,main='Residals Periodogram')
cpgram(myresid,main='Residal Cumulative Periodogram')
qqnorm(myresid,main='Residual Normal QQ Plot')
qqline(myresid)
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Estimated Parameters of Exponential Smoothing',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,fit$alpha)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,fit$beta)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'gamma',header=TRUE)
a<-table.element(a,fit$gamma)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Interpolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observed',header=TRUE)
a<-table.element(a,'Fitted',header=TRUE)
a<-table.element(a,'Residuals',header=TRUE)
a<-table.row.end(a)
for (i in 1:nxmK) {
a<-table.row.start(a)
a<-table.element(a,i+K,header=TRUE)
a<-table.element(a,x[i+K])
a<-table.element(a,fit$fitted[i,'xhat'])
a<-table.element(a,myresid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Extrapolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Forecast',header=TRUE)
a<-table.element(a,'95% Lower Bound',header=TRUE)
a<-table.element(a,'95% Upper Bound',header=TRUE)
a<-table.row.end(a)
for (i in 1:np) {
a<-table.row.start(a)
a<-table.element(a,nx+i,header=TRUE)
a<-table.element(a,p[i,'fit'])
a<-table.element(a,p[i,'lwr'])
a<-table.element(a,p[i,'upr'])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')